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Finding the Third Proportional to 307,982,090 and 641,440,543

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Solution

The third proportional to 307,982,090 and 641,440,543 is: 1,335,941,223.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,982,090 : 641,440,543 = 641,440,543 : x
  2. Step 2: Convert to fraction form
    307,982,090/641,440,543 = 641,440,543/x
  3. Step 3: Cross multiply
    307,982,090x = 641,440,543 × 641,440,543
  4. Step 4: Simplify right side
    307,982,090x = 411,445,970,204,134,848
  5. Step 5: Solve for x
    x = 411,445,970,204,134,848/307,982,090
  6. Step 6: Final answer
    x = 1,335,941,223.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.